Name: Two-Sided Projective Resolutions, Periodicity and Local Algebras (en Inglés)
SKU: 62069911
Price: 69.88 USD
Availability: InStock
Author: Stefanie Kupper

portada Two-Sided Projective Resolutions, Periodicity and Local Algebras (en Inglés)

Two-Sided Projective Resolutions, Periodicity and Local Algebras (en Inglés)

Formato

Libro Físico

Editorial

Logos Verlag Berlin

Autor

Stefanie Kupper

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

ISBN13

9783832527242

Two-Sided Projective Resolutions, Periodicity and Local Algebras (en Inglés)

Stefanie Kupper (Autor) · Logos Verlag Berlin · Tapa Blanda

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Reseña del libro "Two-Sided Projective Resolutions, Periodicity and Local Algebras (en Inglés)"

This book introduces a new point of view on two-sided projective resolutions of associative algebras. By gluing the vertices we associate a local algebra A_{locto any finite dimensional algebra A. We try to derive information on the cohomology of A from the associated local algebra A_{loc, that is from the local equivalence class of A. For instance, the Anick-Green resolution is minimal for A if and only if it is so for A_{loc. We can read off the relations of A whether there is a locally equivalent algebra that has a finite or a periodic bimodule resolution over itself. Comparing an algebra A and an associated monomial algebra A_{mon, there are inequalities of the following kind: If the resolution of the monomial algebra A_{monis locally finite, then the resolution of A is locally finite. If the resolution of A_{monis locally periodic, then the resolution of A is either locally finite or locally almost periodic.